Square Root by Prime Factorization Method

Square root by prime factorization method

Procedure

Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III:Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.